Details

sample223.0ms

Algorithm

intervals

Results

113.0ms	703×	body	80	nan
21.0ms	255×	body	80	valid
0.0ms	1×	body	160	valid

simplify40.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

39.0ms

(* (sqrt (- x 1)) (sqrt x))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize23.0ms

Local error

Found 1 expressions with local error:

0.5b	(* (sqrt (- x 1)) (sqrt x))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
14×	`sqrt-prod`
10×	`associate-l`
8×	`*-un-lft-identity`
6×	`associate-r`
5×	`pow1` `add-cube-cbrt`
4×	`unswap-sqr`
3×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `associate-*l/` `difference-of-squares`
1×	`flip3--` `sqrt-unprod` `difference-of-sqr-1` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

1 → 37

Calls

1 calls:

Slowest

47.0ms

(* (sqrt (- x 1)) (sqrt x))

series80.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

80.0ms

(* (sqrt (- x 1)) (sqrt x))

simplify2.1s

Counts

43 → 40

Calls

43 calls:

Slowest

428.0ms	(* (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1))) (* (* (sqrt x) (sqrt x)) (sqrt x)))
307.0ms	(* (sqrt (- (pow x 3) (pow 1 3))) (sqrt x))
245.0ms	(* (* (* (sqrt (- x 1)) (sqrt x)) (* (sqrt (- x 1)) (sqrt x))) (* (sqrt (- x 1)) (sqrt x)))
132.0ms	(exp (* (sqrt (- x 1)) (sqrt x)))
72.0ms	(- x (+ (* 1/8 (/ 1 x)) 1/2))

prune296.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

Calls

0 calls:

Slowest

series0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

simplify0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

prune5.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.4b	(* (sqrt (+ x -1)) (fabs (cbrt x)))
0.3b	(* (* (sqrt (+ x -1)) (fabs (cbrt x))) (sqrt (cbrt x)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`associate-r` `add-cube-cbrt` `sqrt-prod`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`cbrt-prod` `associate-l`
6×	`associate-*l/`
4×	`sqrt-div` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`flip3-+` `pow1/3` `*-commutative` `flip-+` `unswap-sqr`
1×	`difference-of-sqr--1` `distribute-lft-out`

Counts

4 → 78

Calls

4 calls:

Slowest

31.0ms	(* (* (sqrt (+ x -1)) (fabs (cbrt x))) (sqrt (cbrt x)))
20.0ms	(* (sqrt (+ x -1)) (fabs (cbrt x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series775.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

304.0ms	(cbrt x)
267.0ms	(cbrt x)
140.0ms	(* (* (sqrt (+ x -1)) (fabs (cbrt x))) (sqrt (cbrt x)))
63.0ms	(* (sqrt (+ x -1)) (fabs (cbrt x)))

simplify5.9s

Counts

94 → 90

Calls

94 calls:

Slowest

996.0ms	(* (* (* (* (sqrt (+ x -1)) (fabs (cbrt x))) (* (sqrt (+ x -1)) (fabs (cbrt x)))) (* (sqrt (+ x -1)) (fabs (cbrt x)))) (* (* (sqrt (cbrt x)) (sqrt (cbrt x))) (sqrt (cbrt x))))
588.0ms	(* (* (* (* (sqrt (+ x -1)) (fabs (cbrt x))) (sqrt (cbrt x))) (* (* (sqrt (+ x -1)) (fabs (cbrt x))) (sqrt (cbrt x)))) (* (* (sqrt (+ x -1)) (fabs (cbrt x))) (sqrt (cbrt x))))
584.0ms	(* (* (sqrt (+ (pow x 3) (pow -1 3))) (fabs (cbrt x))) (sqrt (cbrt x)))
529.0ms	(* (sqrt (+ (pow x 3) (pow -1 3))) (fabs (cbrt x)))
347.0ms	(* (* (* (sqrt (+ x -1)) (fabs (cbrt x))) (* (sqrt (+ x -1)) (fabs (cbrt x)))) (* (sqrt (+ x -1)) (fabs (cbrt x))))

prune900.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 1 expressions with local error:

29.0b

(pow (* (- x 1) x) (/ 1 2))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow-unpow`
9×	`times-frac`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-exp-log`
2×	`pow-pow` `pow-exp`
1×	`pow-to-exp` `unpow-prod-down` `add-cbrt-cube` `pow-prod-down` `prod-exp` `insert-posit16` `div-inv` `add-log-exp` `sqr-pow`

Counts

1 → 28

Calls

1 calls:

Slowest

24.0ms

(pow (* (- x 1) x) (/ 1 2))

series74.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

74.0ms

(pow (* (- x 1) x) (/ 1 2))

simplify6.7s

Counts

33 → 31

Calls

33 calls:

Slowest

718.0ms	(pow (* (- x 1) x) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 2) (cbrt 2))))
547.0ms	(* (* (pow (* (- x 1) x) (/ 1 2)) (pow (* (- x 1) x) (/ 1 2))) (pow (* (- x 1) x) (/ 1 2)))
413.0ms	(pow (* (- x 1) x) (* (cbrt (/ 1 2)) (cbrt (/ 1 2))))
337.0ms	(exp (pow (* (- x 1) x) (/ 1 2)))
322.0ms	(pow (* (- x 1) x) (/ (* (cbrt 1) (cbrt 1)) (sqrt 2)))

prune184.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch1.0ms

end0.0ms

sample3.9s

Algorithm

intervals

Results

2.8s	23656×	body	80	nan
624.0ms	7992×	body	80	valid
1.0ms	8×	body	160	valid